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Finding the Fourth Proportional to 397,751.61, 548,886.70 and 216,459.64

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Solution

The fourth proportional to 397,751.61, 548,886.70 and 216,459.64 is: 298,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,751.61 : 548,886.70 = 216,459.64 : x
  2. Step 2: Convert to fraction form
    397,751.61/548,886.70 = 216,459.64/x
  3. Step 3: Cross multiply
    397,751.61x = 548,886.70 × 216,459.64
  4. Step 4: Simplify right side
    397,751.61x = 118,811,820,100.07
  5. Step 5: Solve for x
    x = 118,811,820,100.07/397,751.61
  6. Step 6: Final answer
    x = 298,708.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.